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Finding the Fourth Proportional to 78,021.62, 117,004.76 and 28,088.31

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Solution

The fourth proportional to 78,021.62, 117,004.76 and 28,088.31 is: 42,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,021.62 : 117,004.76 = 28,088.31 : x
  2. Step 2: Convert to fraction form
    78,021.62/117,004.76 = 28,088.31/x
  3. Step 3: Cross multiply
    78,021.62x = 117,004.76 × 28,088.31
  4. Step 4: Simplify right side
    78,021.62x = 3,286,466,222.62
  5. Step 5: Solve for x
    x = 3,286,466,222.62/78,021.62
  6. Step 6: Final answer
    x = 42,122.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.